Given below is the data showing the number of children in 20 families of a locality :
3, 1, 3, 2, 2, 2, 0, 3, 4, 2, 1, 3, 2, 4, 1, 2, 2, 3, 1, 3
Arrange the data in ascending order and then prepare a frequency table

Answer

To solve the problem, we will follow these steps:

### Step 1: Arrange the data in ascending order.
The given data is:
3, 1, 3, 2, 2, 2, 0, 3, 4, 2, 1, 3, 2, 4, 1, 2, 2, 3, 1, 3

First, we will sort these numbers from the smallest to the largest:
- The smallest number is 0.
- The next smallest number is 1, which appears 4 times.
- Then we have 2, which appears 7 times.
- Next is 3, which appears 6 times.
- Finally, we have 4, which appears 2 times.

Arranging them in ascending order gives us:
0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4

### Step 2: Prepare a frequency table.
Now, we will create a frequency table based on the arranged data.

| Number of Children | Tally Marks | Frequency |
|--------------------|-------------|-----------|
| 0 | | 1 |
| 1 | |||| | 4 |
| 2 | ||||| | 7 |
| 3 | |||||| | 6 |
| 4 | || | 2 |

### Explanation of the Frequency Table:
- **Number of Children**: This column lists the unique values from the data.
- **Tally Marks**: This column shows the count of each number using tally marks.
- **Frequency**: This column indicates how many times each number appears in the data.

### Final Frequency Table:
| Number of Children | Tally Marks | Frequency |
|--------------------|-------------|-----------|
| 0 | | 1 |
| 1 | |||| | 4 |
| 2 | ||||| | 7 |
| 3 | |||||| | 6 |
| 4 | || | 2 |

### Total Count:
To verify, we can add the frequencies:
1 (for 0) + 4 (for 1) + 7 (for 2) + 6 (for 3) + 2 (for 4) = 20, which matches the total number of families.